101666601005 has 8 divisors (see below), whose sum is σ = 122061024792. Its totient is φ = 81292545088.

The previous prime is 101666600993. The next prime is 101666601007. The reversal of 101666601005 is 500106666101.

It can be written as a sum of positive squares in 4 ways, for example, as 12046599049 + 89620001956 = 109757^2 + 299366^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101666601005 - 2⁶ = 101666600941 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101666601007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5080982 + ... + 5100951.

It is an arithmetic number, because the mean of its divisors is an integer number (15257628099).

Almost surely, 2^101666601005 is an apocalyptic number.

It is an amenable number.

101666601005 is a deficient number, since it is larger than the sum of its proper divisors (20394423787).

101666601005 is a wasteful number, since it uses less digits than its factorization.

101666601005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183935.

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 101666601005 in words is "one hundred one billion, six hundred sixty-six million, six hundred one thousand, five".